Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers
Abstract
Small-scale perturbations in the ablative Rayleigh-Taylor instability (ARTI) are often neglected because they are linearly stable when their wavelength is shorter than a linear cutoff. Using 2D and 3D numerical simulations, it is shown that linearly stable modes of any wavelength can be destabilized. This instability regime requires finite amplitude initial perturbations and linearly stable ARTI modes are more easily destabilized in 3D than in 2D. In conclusion, it is shown that for conditions found in laser fusion targets, short wavelength ARTI modes are more efficient at driving mixing of ablated material throughout the target since the nonlinear bubble density increases with the wave number and small scale bubbles carry a larger mass flux of mixed material.
- Authors:
-
- Univ. of Rochester, Rochester, NY (United States)
- Univ. of Science and Technology of China, Hefei (China)
- Publication Date:
- Research Org.:
- Univ. of Rochester, NY (United States). Lab. for Laser Energetics
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1417637
- Alternate Identifier(s):
- OSTI ID: 1417077
- Report Number(s):
- 2017-162, 1368
Journal ID: ISSN 2470-0045; PLEEE8; 2017-162, 2324, 1368; TRN: US1801088
- Grant/Contract Number:
- NA0001944; SC0014318; AC02-06CH11357; 20150568ER
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Zhang, H., Betti, R., Gopalaswamy, V., Yan, R., and Aluie, H. Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers. United States: N. p., 2018.
Web. doi:10.1103/PhysRevE.97.011203.
Zhang, H., Betti, R., Gopalaswamy, V., Yan, R., & Aluie, H. Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers. United States. https://doi.org/10.1103/PhysRevE.97.011203
Zhang, H., Betti, R., Gopalaswamy, V., Yan, R., and Aluie, H. Tue .
"Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers". United States. https://doi.org/10.1103/PhysRevE.97.011203. https://www.osti.gov/servlets/purl/1417637.
@article{osti_1417637,
title = {Nonlinear excitation of the ablative Rayleigh-Taylor instability for all wave numbers},
author = {Zhang, H. and Betti, R. and Gopalaswamy, V. and Yan, R. and Aluie, H.},
abstractNote = {Small-scale perturbations in the ablative Rayleigh-Taylor instability (ARTI) are often neglected because they are linearly stable when their wavelength is shorter than a linear cutoff. Using 2D and 3D numerical simulations, it is shown that linearly stable modes of any wavelength can be destabilized. This instability regime requires finite amplitude initial perturbations and linearly stable ARTI modes are more easily destabilized in 3D than in 2D. In conclusion, it is shown that for conditions found in laser fusion targets, short wavelength ARTI modes are more efficient at driving mixing of ablated material throughout the target since the nonlinear bubble density increases with the wave number and small scale bubbles carry a larger mass flux of mixed material.},
doi = {10.1103/PhysRevE.97.011203},
journal = {Physical Review E},
number = 1,
volume = 97,
place = {United States},
year = {Tue Jan 16 00:00:00 EST 2018},
month = {Tue Jan 16 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
Bubble Acceleration in the Ablative Rayleigh-Taylor Instability
journal, November 2006
- Betti, R.; Sanz, J.
- Physical Review Letters, Vol. 97, Issue 20
Thermonuclear Supernovae: Simulations of the Deflagration Stage and Their Implications
journal, November 2002
- Gamezo, V. N.
- Science, Vol. 299, Issue 5603
Rayleigh-Taylor type Instabilities in the Reconnection Exhaust jet as a Mechanism for Supra-Arcade Downflows in the sun
journal, November 2014
- Guo, L. -J.; Huang, Y. -M.; Bhattacharjee, A.
- The Astrophysical Journal, Vol. 796, Issue 2
Improving cryogenic deuterium–tritium implosion performance on OMEGA
journal, May 2013
- Sangster, T. C.; Goncharov, V. N.; Betti, R.
- Physics of Plasmas, Vol. 20, Issue 5
Nonlinear evolution of multimode Rayleigh–Taylor instability in two and three dimensions
journal, June 1995
- Shvarts, D.; Alon, U.; Ofer, D.
- Physics of Plasmas, Vol. 2, Issue 6
Nonlinear theory of the ablative Rayleigh–Taylor instability
journal, November 2004
- Sanz, J.; Betti, R.; Ramis, R.
- Plasma Physics and Controlled Fusion, Vol. 46, Issue 12B
Three-dimensional single-mode nonlinear ablative Rayleigh-Taylor instability
journal, February 2016
- Yan, R.; Betti, R.; Sanz, J.
- Physics of Plasmas, Vol. 23, Issue 2
Steady-state planar ablative flow
journal, January 1982
- Manheimer, W. M.
- Physics of Fluids, Vol. 25, Issue 9
Active galactic nucleus feedback in clusters of galaxies
journal, March 2010
- Blanton, E. L.; Clarke, T. E.; Sarazin, C. L.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 16
Analytical Model of Nonlinear, Single-Mode, Classical Rayleigh-Taylor Instability at Arbitrary Atwood Numbers
journal, March 2002
- Goncharov, V. N.
- Physical Review Letters, Vol. 88, Issue 13
Wavelength Scaling for Reactor-Size Laser-Fusion Targets
journal, October 1981
- Gardner, John H.; Bodner, Stephen E.
- Physical Review Letters, Vol. 47, Issue 16
Effects of local defect growth in direct-drive cryogenic implosions on OMEGA
journal, August 2013
- Igumenshchev, I. V.; Goncharov, V. N.; Shmayda, W. T.
- Physics of Plasmas, Vol. 20, Issue 8
Transport Phenomena in a Completely Ionized Gas
journal, March 1953
- Spitzer, Lyman; Härm, Richard
- Physical Review, Vol. 89, Issue 5
Self‐consistent cutoff wave number of the ablative Rayleigh–Taylor instability
journal, October 1995
- Betti, R.; Goncharov, V. N.; McCrory, R. L.
- Physics of Plasmas, Vol. 2, Issue 10
Self‐consistent stability analysis of ablation fronts with small Froude numbers
journal, December 1996
- Goncharov, V. N.; Betti, R.; McCrory, R. L.
- Physics of Plasmas, Vol. 3, Issue 12
Vertical Mixing, Energy, and the General Circulation of the Oceans
journal, January 2004
- Wunsch, Carl; Ferrari, Raffaele
- Annual Review of Fluid Mechanics, Vol. 36, Issue 1
Self-consistent Analytical Model of the Rayleigh-Taylor Instability in Inertial Confinement Fusion
journal, November 1994
- Sanz, J.
- Physical Review Letters, Vol. 73, Issue 20
Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGA
journal, May 2014
- Goncharov, V. N.; Sangster, T. C.; Betti, R.
- Physics of Plasmas, Vol. 21, Issue 5
Growth rates of the ablative Rayleigh–Taylor instability in inertial confinement fusion
journal, May 1998
- Betti, R.; Goncharov, V. N.; McCrory, R. L.
- Physics of Plasmas, Vol. 5, Issue 5
Rayleigh-Taylor Instability and Laser-Pellet Fusion
journal, September 1974
- Bodner, Stephen E.
- Physical Review Letters, Vol. 33, Issue 13
On the Instability of Superposed Fluids in a Gravitational Field.
journal, July 1955
- Layzer, David
- The Astrophysical Journal, Vol. 122
Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma
journal, January 1985
- Takabe, H.; Mima, K.; Montierth, L.
- Physics of Fluids, Vol. 28, Issue 12
Analysis of a direct-drive ignition capsule designed for the National Ignition Facility
journal, May 2001
- McKenty, P. W.; Goncharov, V. N.; Town, R. P. J.
- Physics of Plasmas, Vol. 8, Issue 5
Thermonuclear Supernovae: Simulations of the Deflagration Stage and Their Implications
text, January 2002
- Gamezo, V. N.; Khokhlov, A. M.; Oran, E. S.
- arXiv
Works referencing / citing this record:
Two mode coupling of the ablative Rayleigh-Taylor instabilities
journal, March 2019
- Xin, J.; Yan, R.; Wan, Z. -H.
- Physics of Plasmas, Vol. 26, Issue 3
Baropycnal Work: A Mechanism for Energy Transfer across Scales
journal, May 2019
- Lees, Aarne; Aluie, Hussein
- Fluids, Vol. 4, Issue 2